Question

From driverless cars to a workplace staffed by robots, automation has the potential to reshape many facets of American life. The large majority of Americans (87%) would favor a requirement that all driverless vehicles have a human in the driver's seat who can take control of the vehicle in the event of an emergency, while 56% of U.S. adults say that they would not ride in a driverless vehicle.† If these figures are correct, what is the probability that in a sample of n = 100 U.S. adults, the sample proportion p̂ of adults who would not ride in a driverless vehicle falls between 54% and 64%? (Round your answer to four decimal places.)

Answer 1

Now , the sampling distribution of the sample proportion is approximately normally distributed with sample mean and sample standard deviation

Now ,

; From standard normal distribution table